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Epimorphisms of Modules which must be Isomorphisms

Published online by Cambridge University Press:  20 November 2018

D. Ž. Djoković
D. Ž. Djoković*
Affiliation:
University of Waterloo, Waterloo, Ontario
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Let R be an associative ring (not necessarily with identity).

R is a left П-ring if it has the following property: Let M be a finitely generated left R-module, N a submodule of M and ϕ:N→M an epimorphism. Then ϕ is an isomorphism.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 513 - 515
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Orzech, M., Onto endomorphisms are isomorphisms, Amer. Math. Monthly 78 (1971), 357–362 Google Scholar